364 SEMICONDUCTOR DEVICES
Current–
controlled
current
source
(fixed)
iB > 0
iC = βiB
iE = iC + iB
= (β + 1)iB
vCE > Vγ
vBE = Vγ
Vγ
−
−
+
+ +
E
(a)
C
B
iB > 0
iC < βiB
vCE = Vsat
Vsat
vBE = Vγ
(fixed)
Vγ
−
−
+
+ +
+
E
(b)
C
B
iB = 0
iC = ICEO
vCE ≥ 0
vBE < Vγ −
−
+
+
E
(c)
C
B
Figure 7.3.8Large-signal models ofnpnBJT.(a)Linear circuit model in idealized active state.(b)Idealized
saturated state.(c)Idealized cutoff state.
EXAMPLE 7.3.1
Consider the common-emitter BJT circuit shown in Figure E7.3.1(a). The static characteristics of
thenpnsilicon BJT are given in Figure E7.3.1(b) along with the load line. CalculateiBforvS= 1
V and 2 V. Then estimate the corresponding values ofvCEandiCfrom the load line, and compute
the voltage amplificationAv=vCE/vSand the current amplificationAi=iC/iB.
Solution
iB=0 forvS<VγandiB=(vS−Vγ)/RBforvS>V. With varying but positive base current,
vBEstays nearly constant at the junction threshold voltageVγ, which is 0.7 V for a silicon BJT
[see Figure 7.3.4(a)].
Then,IBQ 1 =
vS 1 − 0. 7
RB
=
1 − 0. 7
20,000
= 15 μA,forvS 1 = 0 .7V
Corresponding to 15-μA interpolated static curve and load line [see Fig. E7.3.1(b)], we get
vCE 1 = 9 .4 V, andiC 1 = 1 .3 mA;
forvS 2 =2V,IBQ 2 =
2 − 0. 7
20,000
=
1. 3
20,000
= 65 μA
+
−
C
(a)
E
+
+
−
+
− −
RB=Ω20 k B RC=Ω2 k
VCC=12 V
iC
iB
vS
vCE
vBE
Figure E7.3.1(a)Circuit.(b)Static
curves and load line.